In [9]:
import numpy as np
import research
import view
import lib.gradients as grad
import lib.data as data
import matplotlib.pyplot as plt
import decompozition
import lib.mesurements
%matplotlib inline
In [10]:
def poisson_noised(im):
    step = im.min()
    if (step < 0):
        im -= step
    noise_mask = np.random.poisson(im)
    if (step < 0):
        im += step
    return noise_mask
In [182]:
def my_exp(x,y,w1,w2):
    if (w1 == 0):
        return np.exp( w2*1j*y)
    return np.exp(w1*1j*x + w2*1j*y)

cпектр комлексной экспоненты с индексом i,j

In [164]:
x,y = data.get_plane(-np.pi, np.pi,-np.pi,np.pi,8)
In [262]:
im = my_exp(x,y,150,8)
In [279]:
f, axarr = plt.subplots(1,1,figsize=(15,15))
plt.imshow(np.abs(np.fft.fft2(im)), cmap='gray')
print(np.abs(np.fft.fft2(im))[8][150])
print(np.max(np.abs(np.fft.fft2(im))))
34054.598226
48649.2105513
In [248]:
grad_X, grad_Y = grad.fried_model_gradient(im)
X_H, Y_H = grad.Hudgin_gradien_model(im)
LH, HL, HH = decompozition.analyze(grad_X, grad_Y, X_H, Y_H)
res = decompozition.syntesis({0:np.array([[np.mean(im)*2**8]])}, LH, HL, HH,8)
In [347]:
f, axarr = plt.subplots(1,1,figsize=(15,15))
plt.imshow(np.abs(np.fft.fft2(res[8])), cmap='gray')
Out[347]:
<matplotlib.image.AxesImage at 0x7f3828beb4e0>
In [251]:
np.max(np.abs(np.fft.fft2(res[8])))
Out[251]:
46934.692702399123
In [253]:
np.abs(np.fft.fft2(im)[100,256-51])
Out[253]:
46934.692702399123

to do

исправить баг, с индексами i,j

функция compare вычисляет $e^{(1j*i*x, 1j*j*y)}$ на сеткe 2M x 2M. затем находя градиенты , вычисляет значение функции. noised определяет будет ли зашумлена функция. возвращает отношение спектров исходного и восстановленного сигналов. т.к. спектр комлескной экспоненты exp(1jix, 1jjy) дельта функция, всё значение сосредоточено в окрестности точки i,j. 2 варианта , что возвращает функция : 1.отношение cпектров на [i,j] позиции 2.отнощение максимумов спекторов

ниже 2 варианта.

In [359]:
def compare(i,j,M, noised = False):
    x,y = data.get_plane(-np.pi, np.pi,-np.pi,np.pi,M)
    im = my_exp(x,y,i,j)
    grad_X, grad_Y = grad.fried_model_gradient(im)
    X_H, Y_H = grad.Hudgin_gradien_model(im)
    if (noised):
        #как зашумлять комплексные числа?
        grad_X = poisson_noised(grad_X.real) + 1j*poisson_noised(grad_X.imag)
        grad_Y = poisson_noised(grad_Y.real) + 1j*poisson_noised(grad_Y.imag)
        X_H = poisson_noised(X_H.real) + 1j*poisson_noised(X_H.imag)
        Y_H = poisson_noised(Y_H.real) + 1j*poisson_noised(Y_H.imag)
    LH, HL, HH = decompozition.analyze(grad_X, grad_Y, X_H, Y_H)
    res = decompozition.syntesis({0:np.array([[np.mean(im)*2**M]])}, LH, HL, HH,M)
    print(np.abs(np.fft.fft2(im)[j,i]), np.abs(np.fft.fft2(res[M])[j,i]))
    print(np.max(np.abs(np.fft.fft2(im))), np.max(np.abs(np.fft.fft2(res[M]))))
    return np.abs(np.fft.fft2(im)[j,i])/np.abs(np.fft.fft2(res[M])[j,i])
    #return np.max(np.abs(np.fft.fft2(im))) / np.max(np.abs(np.fft.fft2(res[M])))
In [295]:
compare(0,150,8)
34109.794486 34109.794486
48728.0620021 48728.0620021
Out[295]:
0.99999999999999989
In [343]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
    for j in range(64):
        z[i,j] = compare(i,j,6)
4096.0 4096.0
4096.0 4096.0
4094.30305668 4094.30305668
4094.30305668 4094.30305668
4089.21475671 4089.21475671
4089.21475671 4089.21475671
4080.74268549 4080.74268549
4080.74268549 4080.74268549
4068.89947044 4068.89947044
4068.89947044 4068.89947044
4053.70275857 4053.70275857
4053.70275857 4053.70275857
4035.17518516 4035.17518516
4035.17518516 4035.17518516
4013.34433366 4013.34433366
4013.34433366 4013.34433366
3988.24268676 3988.24268676
3988.24268676 3988.24268676
3959.90756884 3959.90756884
3959.90756884 3959.90756884
3928.38107981 3928.38107981
3928.38107981 3928.38107981
3893.7100206 3893.7100206
3893.7100206 3893.7100206
3855.9458103 3855.9458103
3855.9458103 3855.9458103
3815.14439517 3815.14439517
3815.14439517 3815.14439517
3771.36614979 3771.36614979
3771.36614979 3771.36614979
3724.6757703 3724.6757703
3724.6757703 3724.6757703
3675.14216026 3675.14216026
3675.14216026 3675.14216026
3622.83830902 3622.83830902
3622.83830902 3622.83830902
3567.8411631 3567.8411631
3567.8411631 3567.8411631
3510.23149066 3510.23149066
3510.23149066 3510.23149066
3450.0937394 3450.0937394
3450.0937394 3450.0937394
3387.51588814 3387.51588814
3387.51588814 3387.51588814
3322.58929233 3322.58929233
3322.58929233 3322.58929233
3255.40852391 3255.40852391
3255.40852391 3255.40852391
3186.07120562 3186.07120562
3186.07120562 3186.07120562
3114.67784032 3114.67784032
3114.67784032 3114.67784032
3041.33163542 3041.33163542
3041.33163542 3041.33163542
2966.13832292 2966.13832292
2966.13832292 2966.13832292
2889.20597532 2889.20597532
2889.20597532 2889.20597532
2810.64481779 2810.64481779
2810.64481779 2810.64481779
2730.56703691 2730.56703691
2730.56703691 2730.56703691
2649.08658642 2649.08658642
2649.08658642 2649.08658642
2566.31899027 2566.31899027
2649.08658642 2649.08658642
2482.3811434 2482.3811434
2730.56703691 2730.56703691
2397.39111057 2397.39111057
2810.64481779 2810.64481779
2311.46792376 2311.46792376
2889.20597532 2889.20597532
2224.73137826 2224.73137826
2966.13832292 2966.13832292
2137.30182815 2137.30182815
3041.33163542 3041.33163542
2049.29998133 2049.29998133
3114.67784032 3114.67784032
1960.84669452 1960.84669452
3186.07120562 3186.07120562
1872.06276876 1872.06276876
3255.40852391 3255.40852391
1783.06874558 1783.06874558
3322.58929233 3322.58929233
1693.9847044 1693.9847044
3387.51588814 3387.51588814
1604.9300614 1604.9300614
3450.0937394 3450.0937394
1516.02337035 1516.02337035
3510.23149066 3510.23149066
1427.38212571 1427.38212571
3567.8411631 3567.8411631
1339.12256835 1339.12256835
3622.83830902 3622.83830902
1251.35949426 1251.35949426
3675.14216026 3675.14216026
1164.20606669 1164.20606669
3724.6757703 3724.6757703
1077.77363188 1077.77363188
3771.36614979 3771.36614979
992.171538904 992.171538904
3815.14439517 3815.14439517
907.506963813 907.506963813
3855.9458103 3855.9458103
823.884738519 823.884738519
3893.7100206 3893.7100206
741.407184615 741.407184615
3928.38107981 3928.38107981
660.173952496 660.173952496
3959.90756884 3959.90756884
580.281866057 580.281866057
3988.24268676 3988.24268676
501.824773225 501.824773225
4013.34433366 4013.34433366
424.893402606 424.893402606
4035.17518516 4035.17518516
349.575226484 349.575226484
4053.70275857 4053.70275857
275.954330419 275.954330419
4068.89947044 4068.89947044
204.11128966 204.11128966
4080.74268549 4080.74268549
134.123052585 134.123052585
4089.21475671 4089.21475671
66.0628313595 66.0628313595
4094.30305668 4094.30305668
9.62158076667e-12 9.62158076667e-12
4096.0 4096.0
4094.30305668 4094.30305668
4094.30305668 4094.30305668
4092.6068164 4092.6068164
4092.6068164 4092.6068164
4087.52062447 4087.52062447
4087.52062447 4087.52062447
4079.05206317 4079.05206317
4079.05206317 4079.05206317
4067.21375468 4067.21375468
4067.21375468 4067.21375468
4052.02333869 4052.02333869
4052.02333869 4052.02333869
4033.50344113 4033.50344113
4033.50344113 4033.50344113
4011.68163399 4011.68163399
4011.68163399 4011.68163399
3986.59038653 3986.59038653
3986.59038653 3986.59038653
3958.26700764 3958.26700764
3958.26700764 3958.26700764
3926.75357981 3926.75357981
3926.75357981 3926.75357981
3892.09688457 3892.09688457
3892.09688457 3892.09688457
3854.34831971 3854.34831971
3854.34831971 3854.34831971
3813.56380831 3813.56380831
3813.56380831 3813.56380831
3769.80369994 3769.80369994
3769.80369994 3769.80369994
3723.13266394 3723.13266394
3723.13266394 3723.13266394
3673.61957531 3673.61957531
3673.61957531 3673.61957531
3621.33739318 3621.33739318
3621.33739318 3621.33739318
3566.36303219 3566.36303219
3566.36303219 3566.36303219
3508.77722702 3508.77722702
3508.77722702 3508.77722702
3448.6643904 3448.6643904
3448.6643904 3448.6643904
3386.11246469 3386.11246469
3386.11246469 3386.11246469
3321.21276751 3321.21276751
3321.21276751 3321.21276751
3254.05983159 3254.05983159
3254.05983159 3254.05983159
3184.75123925 3184.75123925
3184.75123925 3184.75123925
3113.38745171 3113.38745171
3113.38745171 3113.38745171
3040.07163362 3040.07163362
3040.07163362 3040.07163362
2964.90947316 2964.90947316
2964.90947316 2964.90947316
2888.00899808 2888.00899808
2888.00899808 2888.00899808
2809.48038787 2809.48038787
2809.48038787 2809.48038787
2729.43578264 2729.43578264
2729.43578264 2729.43578264
2647.98908892 2647.98908892
2647.98908892 2647.98908892
2565.25578279 2565.25578279
2647.98908892 2647.98908892
2481.35271076 2481.35271076
2729.43578264 2729.43578264
2396.39788869 2396.39788869
2809.48038787 2809.48038787
2310.51029924 2310.51029924
2888.00899808 2888.00899808
2223.80968806 2223.80968806
2964.90947316 2964.90947316
2136.41635939 2136.41635939
3040.07163362 3040.07163362
2048.4509711 2048.4509711
3113.38745171 3113.38745171
1960.03432985 1960.03432985
3184.75123925 3184.75123925
1871.28718663 1871.28718663
3254.05983159 3254.05983159
1782.33003304 1782.33003304
3321.21276751 3321.21276751
1693.28289873 1693.28289873
3386.11246469 3386.11246469
1604.26515043 1604.26515043
3448.6643904 3448.6643904
1515.39529278 1515.39529278
3508.77722702 3508.77722702
1426.79077157 1426.79077157
3566.36303219 3566.36303219
1338.56777951 1338.56777951
3621.33739318 3621.33739318
1250.84106503 1250.84106503
3673.61957531 3673.61957531
1163.7237445 1163.7237445
3723.13266394 3723.13266394
1077.32711803 1077.32711803
3769.80369994 3769.80369994
991.760489377 991.760489377
3813.56380831 3813.56380831
907.130990211 907.130990211
3854.34831971 3854.34831971
823.543409003 823.543409003
3892.09688457 3892.09688457
741.100024955 741.100024955
3926.75357981 3926.75357981
659.90044718 659.90044718
3958.26700764 3958.26700764
580.041459457 580.041459457
3986.59038653 3986.59038653
501.616870834 501.616870834
4011.68163399 4011.68163399
424.717372328 424.717372328
4033.50344113 4033.50344113
349.430399984 349.430399984
4052.02333869 4052.02333869
275.840004526 275.840004526
4067.21375468 4067.21375468
204.026727822 204.026727822
4079.05206317 4079.05206317
134.06748637 134.06748637
4087.52062447 4087.52062447
66.035462004 66.035462004
4092.6068164 4092.6068164
9.56458178488e-12 9.43964815073e-12
4094.30305668 4094.30305668
4089.21475671 4089.21475671
4089.21475671 4089.21475671
4087.52062447 4087.52062447
4087.52062447 4087.52062447
4082.44075354 4082.44075354
4082.44075354 4082.44075354
4073.98271676 4073.98271676
4073.98271676 4073.98271676
4062.15912063 4062.15912063
4062.15912063 4062.15912063
4046.98758292 4046.98758292
4046.98758292 4046.98758292
4028.49070143 4028.49070143
4028.49070143 4028.49070143
4006.6960139 4006.6960139
4006.6960139 4006.6960139
3981.63594923 3981.63594923
3981.63594923 3981.63594923
3953.34776994 3953.34776994
3953.34776994 3953.34776994
3921.87350623 3921.87350623
3921.87350623 3921.87350623
3887.25988149 3887.25988149
3887.25988149 3887.25988149
3849.55822963 3849.55822963
3849.55822963 3849.55822963
3808.82440423 3808.82440423
3808.82440423 3808.82440423
3765.11867985 3765.11867985
3765.11867985 3765.11867985
3718.50564547 3718.50564547
3718.50564547 3718.50564547
3669.05409051 3669.05409051
3669.05409051 3669.05409051
3616.8368834 3616.8368834
3616.8368834 3616.8368834
3561.9308432 3561.9308432
3561.9308432 3561.9308432
3504.41660427 3504.41660427
3504.41660427 3504.41660427
3444.37847441 3444.37847441
3444.37847441 3444.37847441
3381.90428671 3381.90428671
3381.90428671 3381.90428671
3317.08524528 3317.08524528
3317.08524528 3317.08524528
3250.0157654 3250.0157654
3250.0157654 3250.0157654
3180.79330809 3180.79330809
3180.79330809 3180.79330809
3109.51820972 3109.51820972
3109.51820972 3109.51820972
3036.29350674 3036.29350674
3036.29350674 3036.29350674
2961.22475599 2961.22475599
2961.22475599 2961.22475599
2884.41985094 2884.41985094
2884.41985094 2884.41985094
2805.98883417 2805.98883417
2805.98883417 2805.98883417
2726.04370643 2726.04370643
2726.04370643 2726.04370643
2644.69823267 2644.69823267
2644.69823267 2644.69823267
2562.06774547 2562.06774547
2644.69823267 2644.69823267
2478.26894613 2478.26894613
2726.04370643 2726.04370643
2393.41970385 2393.41970385
2805.98883417 2805.98883417
2307.63885339 2307.63885339
2884.41985094 2884.41985094
2221.04599162 2221.04599162
2961.22475599 2961.22475599
2133.76127325 2133.76127325
3036.29350674 3036.29350674
2045.90520619 2045.90520619
3109.51820972 3109.51820972
1957.59844699 1957.59844699
3180.79330809 3180.79330809
1868.96159656 1868.96159656
3250.0157654 3250.0157654
1780.11499675 1780.11499675
3317.08524528 3317.08524528
1691.17852805 1691.17852805
3381.90428671 3381.90428671
1602.27140883 1602.27140883
3444.37847441 3444.37847441
1513.51199648 1513.51199648
3504.41660427 3504.41660427
1425.0175908 1425.0175908
3561.9308432 3561.9308432
1336.90424012 1336.90424012
3616.8368834 3616.8368834
1249.28655026 1249.28655026
3669.05409051 3669.05409051
1162.27749701 1162.27749701
3718.50564547 3718.50564547
1075.98824216 1075.98824216
3765.11867985 3765.11867985
990.527953631 990.527953631
3808.82440423 3808.82440423
906.003629941 906.003629941
3849.55822963 3849.55822963
822.519929341 822.519929341
3887.25988149 3887.25988149
740.17900392 740.17900392
3921.87350623 3921.87350623
659.080338999 659.080338999
3953.34776994 3953.34776994
579.320598079 579.320598079
3981.63594923 3981.63594923
500.993473622 500.993473622
4006.6960139 4006.6960139
424.189543937 424.189543937
4028.49070143 4028.49070143
348.996136406 348.996136406
4046.98758292 4046.98758292
275.497197297 275.497197297
4062.15912063 4062.15912063
203.773168381 203.773168381
4073.98271676 4073.98271676
133.900870568 133.900870568
4082.44075354 4082.44075354
65.9533947425 65.9533947425
4087.52062447 4087.52062447
9.59011776572e-12 9.60569238171e-12
4089.21475671 4089.21475671
4080.74268549 4080.74268549
4080.74268549 4080.74268549
4079.05206317 4079.05206317
4079.05206317 4079.05206317
4073.98271676 4073.98271676
4073.98271676 4073.98271676
4065.54220341 4065.54220341
4065.54220341 4065.54220341
4053.74310352 4053.74310352
4053.74310352 4053.74310352
4038.60299833 4038.60299833
4038.60299833 4038.60299833
4020.14443884 4020.14443884
4020.14443884 4020.14443884
3998.39490575 3998.39490575
3998.39490575 3998.39490575
3973.38676073 3973.38676073
3973.38676073 3973.38676073
3945.15718915 3945.15718915
3945.15718915 3945.15718915
3913.7481341 3913.7481341
3913.7481341 3913.7481341
3879.20622217 3879.20622217
3879.20622217 3879.20622217
3841.58268091 3841.58268091
3841.58268091 3841.58268091
3800.93324822 3800.93324822
3800.93324822 3800.93324822
3757.31807374 3757.31807374
3757.31807374 3757.31807374
3710.80161266 3710.80161266
3710.80161266 3710.80161266
3661.45251187 3661.45251187
3661.45251187 3661.45251187
3609.34348883 3609.34348883
3609.34348883 3609.34348883
3554.55120344 3554.55120344
3554.55120344 3554.55120344
3497.15612302 3497.15612302
3497.15612302 3497.15612302
3437.2423807 3437.2423807
3437.2423807 3437.2423807
3374.89762757 3374.89762757
3374.89762757 3374.89762757
3310.2128788 3310.2128788
3310.2128788 3310.2128788
3243.28235406 3243.28235406
3243.28235406 3243.28235406
3174.20331245 3174.20331245
3174.20331245 3174.20331245
3103.07588246 3103.07588246
3103.07588246 3103.07588246
3030.00288706 3030.00288706
3030.00288706 3030.00288706
2955.0896644 2955.0896644
2955.0896644 2955.0896644
2878.44388444 2878.44388444
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In [344]:
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D

вариант когда отношение на i,j позиции. функция не зашумлена.

In [345]:
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,64)
ax.set_ylim(0,64)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
In [296]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
    for j in range(64):
        z[i,j] = compare(i,j,6)
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
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2012.04102285 2012.04102285
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1990.75075451 1990.75075451
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1586.97355088 1586.97355088
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744.811139346 744.811139346
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2800.2869092 2800.2869092
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473.539133989 473.539133989
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4.67748507303e-12 4.63129789182e-12
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3082.5141976 3082.5141976
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3068.42547144 3068.42547144
2007.94591505 2007.94591505
3051.82486856 3051.82486856
1995.38712488 1995.38712488
3032.73708942 3032.73708942
1981.21057297 1981.21057297
3011.1905162 3011.1905162
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2960.85261665 2960.85261665
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2932.13597871 2932.13597871
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2901.10979133 2901.10979133
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2832.31569437 2832.31569437
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1325.38405569 1325.38405569
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1283.97398898 1283.97398898
2014.41681831 2014.41681831
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2368.46143774 2368.46143774
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2526.56133821 2526.56133821
847.529986109 847.529986109
2575.93278089 2575.93278089
802.974400601 802.974400601
2623.51819266 2623.51819266
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2669.24810507 2669.24810507
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4094.30305668 4094.30305668
1.30550995298e-12 1.30550995298e-12
4096.0 4096.0
Out[296]:
<mpl_toolkits.mplot3d.art3d.Line3DCollection at 0x7f3829cdee10>

отношение максимумов, функция не зашумлена

In [340]:
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,64)
ax.set_ylim(0,64)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
# ax.zaxis.set_major_locator(majorLocator)
# ax.zaxis.set_major_formatter(majorFormatter)
In [353]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
    for j in range(64):
        z[i,j] = compare(i,j,6, True)
4096.0 4096.0
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4094.30305668 56912.6321855
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4089.21475671 59384.5763772
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4053.70275857 56987.463217
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4013.34433366 9111.39145497
4013.34433366 56226.0637321
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3988.24268676 56124.9448193
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3771.36614979 73167.1427312
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3675.14216026 86348.1727328
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3622.83830902 89518.1377717
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3567.8411631 85566.8808659
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3510.23149066 97089.7551551
3450.0937394 4107.16478635
3450.0937394 98103.3874157
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3387.51588814 71940.7060105
3322.58929233 4242.48443244
3322.58929233 105820.286995
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3255.40852391 107529.448678
3186.07120562 4179.922143
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3114.67784032 8306.13537543
3114.67784032 112663.519276
3041.33163542 4284.37060175
3041.33163542 114074.698153
2966.13832292 7874.38155376
2966.13832292 108478.611276
2889.20597532 4191.13959307
2889.20597532 114038.610747
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2810.64481779 121564.738405
2730.56703691 4280.64662253
2730.56703691 120740.351835
2649.08658642 7984.60416721
2649.08658642 118418.488693
2566.31899027 4258.64767268
2649.08658642 119174.136991
2482.3811434 7683.93159451
2730.56703691 115685.698341
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2014.41681831 2032.57345349
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6.50042806543e-12 105.619956708
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2199.30999383 2208.71261644
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2161.63112345 2160.86763934
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2039.65251855 2055.54703792
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1996.2097264 2027.20579411
2060.59045268 56649.5583257
1951.47873296 1833.86705447
2014.41681831 60996.6944074
1905.52420207 1901.14178491
1966.98018561 58928.7812253
1858.41237937 1906.5828396
1918.3489367 60697.2653867
1810.21097687 1784.84816885
1868.59296744 59472.6716007
1760.98905537 1681.65238512
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1555.31783921 1502.33939351
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1502.06795268 1473.49664128
1817.78356592 60642.057576
1448.23340531 1458.3747788
1868.59296744 58128.0283717
1393.88925398 1329.0001715
1918.3489367 59238.1826675
1339.11090565 1346.75110665
1966.98018561 60093.6791511
1283.97398898 1343.3679897
2014.41681831 57217.0016949
1228.55422587 1242.4077444
2060.59045268 58669.7202236
1172.92730333 1172.12964885
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1061.35378812 1111.67055089
2190.87473158 60289.6974643
1005.55724967 874.336052496
2231.34693529 64552.2898569
949.853409433 962.363365177
2270.24100516 68856.4048819
894.315882714 893.999195685
2307.50004093 72109.8006423
839.017499378 906.950521529
2343.06942607 79796.4313687
784.030184028 760.718955269
2376.89692381 83494.4817377
729.424838267 707.992672985
2408.93276901 87130.7302855
675.271225273 730.569655913
2439.12975583 92187.8806966
621.637856908 540.271294021
2467.44332093 94010.1545837
568.591883554 621.427594965
2493.83162208 99699.6575132
516.198986879 456.90388886
2518.25561206 100742.223927
464.523275733 441.039053553
2540.67910764 105639.889841
413.627185345 531.321011714
2561.06885354 108262.893822
363.571380023 454.088547886
2579.39458127 109565.340784
314.414659501 418.367510134
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266.213869128 289.08688606
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219.023814027 295.90191507
2621.73086012 115690.791023
172.897177393 158.51753205
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127.884443063 24.5375637253
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84.033822481 108.784602524
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41.3911861985 8.93807260614
2647.98908892 118704.025112
6.26261535971e-12 129.550095393
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2482.3811434 7507.29551978
2730.56703691 115535.167595
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2465.95686519 2565.27891862
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2456.74689668 2343.72112988
2702.36990478 115294.497324
2445.51825926 2454.50788277
2690.01863983 111067.452384
2432.28766988 2414.55734753
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2658.73144914 107110.059343
2399.90231408 2465.8290708
2639.84205974 107132.779651
2380.79568276 2351.33107352
2618.82516723 104456.351012
2359.78328442 2272.22012524
2595.71197108 101042.200366
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2570.53674944 98488.485327
2312.16858055 2251.0899013
2543.33679847 92422.7061024
2285.63677126 2343.65886505
2514.15236639 91013.712721
2257.34006286 2242.70556683
2483.02658241 86913.4823436
2227.32021434 2248.43834322
2450.00538056 82818.9078508
2195.62146091 2209.24256674
2415.13741862 77134.3621525
2162.29043601 2104.54937734
2378.4739924 73310.2284842
2127.3760892 2161.71313266
2340.06894539 68825.9606176
2090.92960001 2131.53225619
2299.97857399 67390.2837896
2053.00428801 2057.20501013
2258.26152861 57346.5130723
2013.65551917 2012.31678454
2214.97871065 61095.354895
1972.94060884 1937.19477524
2170.19316579 59921.8736599
1930.91872128 2003.57343182
2123.96997347 58403.143267
1887.65076625 1839.32766615
2076.37613315 57810.9131814
1843.19929262 1836.94434728
2027.48044726 58083.0140754
1797.62837928 1734.70139596
1977.35340124 58841.0950779
1751.00352357 1786.42849707
1926.06704079 59583.2365453
1703.39152746 1771.55492709
1873.69484666 60015.9630177
1654.86038164 1654.62410242
1820.31160719 60794.5687885
1605.47914779 1637.9911895
1765.99328877 61125.9088038
1555.31783921 1539.94356576
1765.99328877 60335.8909975
1504.44730007 1513.83798832
1820.31160719 60802.6566971
1452.93908355 1524.96386495
1873.69484666 59763.3040204
1400.86532898 1386.38897318
1926.06704079 59638.7408163
1348.29863831 1301.68867474
1977.35340124 58216.2576075
1295.31195214 1280.78679819
2027.48044726 61944.0742165
1241.97842549 1216.14598976
2076.37613315 58741.4386532
1188.3713036 1150.54221253
2123.96997347 60763.254725
1134.56379795 1146.53799547
2170.19316579 58627.3798456
1080.62896275 1049.36597067
2214.97871065 59823.2287846
1026.63957212 1067.84978487
2258.26152861 56968.6472389
972.667998265 1066.06976888
2299.97857399 64660.4106221
918.786090702 969.722689075
2340.06894539 70320.074668
865.065056956 842.827932199
2378.4739924 72877.2353232
811.575344815 819.574255424
2415.13741862 78553.8991951
758.386526407 711.972656264
2450.00538056 84353.8632408
705.567184322 670.434149986
2483.02658241 84525.1123637
653.184799961 703.234552068
2514.15236639 92177.8201414
601.305644333 493.367047128
2543.33679847 91488.6236069
549.994671502 441.099787282
2570.53674944 98179.5049223
499.315414852 500.386225293
2595.71197108 99275.1697815
449.329886393 354.931149597
2618.82516723 105004.239693
400.098479257 277.572613874
2639.84205974 107754.328604
351.679873573 283.064320986
2658.73144914 110089.409116
304.130945885 253.843952284
2675.46526984 111381.41456
257.506682271 379.086845994
2690.01863983 114033.658848
211.860095318 123.50619144
2702.36990478 116472.632826
167.242145086 69.2377414073
2712.50067639 117877.145432
123.701664211 241.68222026
2720.39586502 117210.742763
81.2852872636 221.482664669
2726.04370643 117121.081871
40.0373844839 84.0271523765
2729.43578264 119483.567005
5.46169853615e-12 80.5340365095
2730.56703691 119601.032058
2397.39111057 4566.08438579
2810.64481779 118207.703195
2396.39788869 2333.12091741
2809.48038787 115729.873599
2393.41970385 2482.98326293
2805.98883417 121621.438519
2388.46099578 2386.69009569
2800.17536174 117043.740222
2381.52915534 2297.2461279
2792.04863543 113330.560579
2372.6345113 2461.06277042
2781.62076446 113607.18513
2361.79031214 2310.5814932
2768.90728101 112120.782269
2349.01270244 2506.72942123
2753.92711265 112147.346666
2334.32069435 2297.04784764
2736.70254874 107530.257824
2317.73613384 2283.23760058
2717.259201 101933.469332
2299.28366203 2410.16255214
2695.62595807 102637.5944
2278.99067152 2387.61671639
2671.83493442 101194.675559
2256.88725793 2350.63851032
2645.92141343 97425.4202785
2233.00616664 2205.71979491
2617.92378501 95327.8666674
2207.38273492 2211.13847011
2587.88347775 89714.1063146
2180.05482946 2111.22724111
2555.84488568 88049.241622
2151.06277956 2175.90332057
2521.85528988 81301.1986702
2120.44930593 2125.46535662
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2088.2594454 2099.37916454
2448.22614154 72898.1200996
2054.54047162 2149.69244672
2408.69481164 69088.3679513
2019.34181189 1971.49350034
2367.4287328 62947.5504815
1982.71496024 1964.80596905
2324.48827543 58764.6549053
1944.71338709 1891.4308221
2279.93612699 57208.6363749
1905.39244543 1858.49625874
2233.83718201 58637.0445953
1864.80927393 1857.19268779
2186.25842851 59152.0190518
1823.02269694 1869.5065683
2137.2688308 60496.6666664
1780.09312184 1824.23833501
2086.93920905 58007.0218797
1736.08243362 1777.16592435
2035.34211576 58801.6559504
1691.05388717 1652.14197298
1982.55170949 59981.1686155
1645.07199735 1577.8756226
1928.64362592 59853.9365132
1598.20242703 1540.10278207
1873.69484666 58748.2484366
1550.5118734 1607.606623
1817.78356592 58192.3965765
1502.06795268 1487.61493992
1817.78356592 59057.4981446
1452.93908355 1483.6770867
1873.69484666 57284.77826
1403.1943694 1377.92557978
1928.64362592 59990.7382134
1352.90347969 1325.59995701
1982.55170949 58492.9497888
1302.13653068 1252.32049181
2035.34211576 57876.4724589
1250.96396568 1262.14323273
2086.93920905 60466.3665448
1199.45643509 1228.6937842
2137.2688308 57348.0310128
1147.68467642 1117.53087975
2186.25842851 58256.1143731
1095.71939459 1043.4078445
2233.83718201 59462.6483936
1043.63114263 948.001461447
2279.93612699 59732.033214
991.490203073 947.230464411
2324.48827543 59549.9135153
939.366470287 887.015982044
2367.4287328 65762.4398584
887.329333864 960.557377326
2408.69481164 67991.9559666
835.447563374 763.592818775
2448.22614154 74131.9258596
783.789194659 846.167583085
2485.96477513 77406.4621562
732.421417889 621.908221441
2521.85528988 83476.6904797
681.410467569 743.851107383
2555.84488568 85616.7940671
630.821514719 629.170435158
2587.88347775 87883.9173075
580.718561409 495.613732798
2617.92378501 94622.3939623
531.164337849 552.810229763
2645.92141343 96667.1501443
482.220202213 415.867230926
2671.83493442 101089.685155
433.946043386 321.062846899
2695.62595807 99776.3559245
386.400186803 525.759789827
2717.259201 104453.365185
339.639303543 329.27423959
2736.70254874 106674.391884
293.718322851 275.855388162
2753.92711265 110953.620021
248.69034823 145.038672424
2768.90728101 113518.775821
204.606577258 192.124325875
2781.62076446 113494.267522
161.516225261 377.073077626
2792.04863543 114779.007621
119.466452978 167.265478158
2800.17536174 113952.417647
78.5022983375 144.289628068
2805.98883417 117269.953246
38.6666124611 98.705440798
2809.48038787 119986.015193
5.81730557882e-12 104.390522136
2810.64481779 117542.451277
2311.46792376 7239.6979196
2889.20597532 111246.142586
2310.51029924 2315.96613419
2888.00899808 116092.086061
2307.63885339 2293.11378897
2884.41985094 115576.129273
2302.85786685 2275.85112225
2878.44388444 116312.988629
2296.17446556 2297.96279754
2870.09000561 111623.703847
2287.59860813 2274.48495103
2859.37066216 113469.778491
2277.14306817 2207.85320457
2846.30182042 109835.871607
2264.82341168 2246.77178962
2830.90293697 106871.277078
2250.65796939 2370.03701555
2813.19692422 110444.966241
2234.6678043 2261.88896034
2793.21010977 106657.121262
2216.87667439 2283.98574109
2770.97218973 102295.965896
2197.31099049 2189.20214335
2746.51617619 101261.99911
2175.99976959 2161.5590134
2719.87833878 98557.6497032
2152.97458349 2268.39896708
2691.09814044 94873.9782671
2128.26950293 2065.42854087
2660.21816775 87526.5858953
2101.92103746 2079.0263246
2627.28405559 87209.7709509
2073.96807097 2040.33621422
2592.34440663 79644.0023628
2044.45179303 2048.58555936
2555.45070557 74167.0847192
2013.41562636 1951.8706366
2516.65722837 73653.2856472
1980.9051503 1997.59153877
2476.02094667 70154.2897414
1946.96802065 1861.50539903
2433.60142756 61831.7504968
1911.6538859 1875.24190868
2389.46072888 58161.9597395
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3102.25224251 102850.272012
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отноешние максимумов, функция зашумлена

In [358]:
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 0.3)
ax.set_xlim(0,64)
ax.set_ylim(0,64)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
In [360]:
z = np.zeros(64*64).reshape(64,64)
for i in range (64):
    for j in range(64):
        z[i,j] = compare(i,j,6, True)
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/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in double_scalars
  app.launch_new_instance()
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1996.2097264 1949.69220038
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1951.47873296 2016.33424505
2014.41681831 59682.0015861
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784.030184028 893.127628434
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729.424838267 749.948331554
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568.591883554 607.899136007
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2162.29043601 2245.31832835
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2090.92960001 2066.9889091
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2053.00428801 2070.19819064
2258.26152861 63004.5965999
2013.65551917 1956.68430088
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1972.94060884 1954.82265597
2170.19316579 57908.9864072
1930.91872128 1901.38108192
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1887.65076625 1896.16812957
2076.37613315 60373.6748925
1843.19929262 1900.75217604
2027.48044726 59353.431455
1797.62837928 1747.41769508
1977.35340124 60165.8549005
1751.00352357 1811.76409745
1926.06704079 60235.2596701
1703.39152746 1733.51742064
1873.69484666 61037.6734975
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1765.99328877 59702.5559321
1504.44730007 1508.57601754
1820.31160719 61762.7560101
1452.93908355 1498.05607368
1873.69484666 60080.8205504
1400.86532898 1307.22175165
1926.06704079 59929.5902715
1348.29863831 1295.52979742
1977.35340124 60316.1118188
1295.31195214 1211.18054533
2027.48044726 59348.6342553
1241.97842549 1262.49399071
2076.37613315 60047.0400374
1188.3713036 1182.8008715
2123.96997347 59075.7300657
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1080.62896275 1189.6907572
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1026.63957212 928.275824605
2258.26152861 57838.5997565
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2340.06894539 69860.0182118
865.065056956 968.795060657
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811.575344815 838.313083437
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758.386526407 710.364455579
2450.00538056 81874.938544
705.567184322 731.904432486
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653.184799961 631.67073573
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601.305644333 552.777306036
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549.994671502 656.484523603
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499.315414852 505.519761725
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449.329886393 478.083741997
2618.82516723 102826.740976
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40.0373844839 77.3608953037
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5.46169853615e-12 109.880409168
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2054.54047162 2019.56068941
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2019.34181189 2033.73693529
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1982.71496024 1954.48877201
2324.48827543 61811.7277109
1944.71338709 1874.93504417
2279.93612699 59563.521361
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1982.55170949 57025.6920065
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1598.20242703 1617.22329147
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1452.93908355 1534.09635758
1873.69484666 60446.6710523
1403.1943694 1417.13441475
1928.64362592 59566.627697
1352.90347969 1386.66885432
1982.55170949 58304.7400909
1302.13653068 1320.15576484
2035.34211576 59739.7175677
1250.96396568 1234.65674543
2086.93920905 58603.9392
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2137.2688308 59895.8458812
1147.68467642 1128.04636667
2186.25842851 59853.5077121
1095.71939459 1137.68521279
2233.83718201 57996.324847
1043.63114263 1030.75499657
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991.490203073 984.334405456
2324.48827543 58995.2273133
939.366470287 921.42308952
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887.329333864 936.275532695
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835.447563374 876.674636753
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783.789194659 692.767672852
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732.421417889 730.320495187
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681.410467569 682.64720385
2555.84488568 87966.1337284
630.821514719 737.037185642
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580.718561409 555.835074621
2617.92378501 94308.9671415
531.164337849 465.284730819
2645.92141343 94617.6982321
482.220202213 510.653704849
2671.83493442 98531.6171688
433.946043386 386.074505392
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386.400186803 362.912842888
2717.259201 103540.084186
339.639303543 332.966402018
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248.69034823 308.399320013
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38.6666124611 65.6720543876
2809.48038787 116563.098823
5.81730557882e-12 84.0646256098
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2302.85786685 2122.90528179
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2013.41562636 2055.24949916
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1980.9051503 2009.70132895
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1946.96802065 1966.84259329
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1911.6538859 1966.14609572
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1837.10263226 1759.31226174
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2247.36717897 56679.2170378
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2092.23256011 58652.4266474
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1586.1121439 1603.23761629
1982.55170949 60578.6879283
1540.92239245 1515.35324646
1926.06704079 59868.9770163
1494.94108198 1502.34251892
1868.59296744 58709.9834676
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1352.90347969 1352.55223416
1982.55170949 58983.2898282
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1106.55132758 1126.73889856
2247.36717897 57814.7650238
1056.4484964 1154.11033665
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1006.22710236 981.672384582
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955.954909074 873.605767063
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905.699305861 915.998622028
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855.527195371 855.945878673
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805.504882455 722.433795501
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755.69796453 722.547386971
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706.171223651 770.230022494
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656.98852046 660.323206698
2627.28405559 86109.4199081
608.212690228 461.038322462
2660.21816775 89336.8462703
559.905441173 639.936466789
2691.09814044 94143.8244172
512.127255235 461.454555788
2719.87833878 99109.9221431
464.937291495 451.069180111
2746.51617619 101165.776529
418.393292403 362.681259594
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372.551492992 290.882491094
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327.466533235 283.932932827
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155.727437301 266.81585645
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37.2807899512 74.1954084987
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4.92861824732e-12 28.917960646
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2966.13832292 108242.818432
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2964.90947316 114662.112408
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2961.22475599 117410.120368
2216.44440894 2311.0437014
2955.0896644 115356.14591
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2946.51334262 113165.428184
2201.75774539 2099.65100716
2935.5085698 112538.935117
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2922.0917374 110651.757011
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2048.40737606 2016.85716664
2731.05314127 89686.0326371
2023.04762208 2051.46181607
2697.24207586 84232.504037
1996.14357507 2011.50736099
2661.37207122 82909.4190856
1967.73487901 1934.17219362
2623.49598294 76105.4901861
1937.86332719 1989.87707798
2583.66953221 67167.4841413
1906.57278863 1948.30458566
2541.95120771 67747.6903168
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1918.3489367 60272.9251224
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1918.3489367 57630.6705186
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1016.8058554 935.218117268
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9.7200144242e-12 231.204585287
4035.17518516 56724.7858466
9.24742679738e-12 311.560267654
4013.34433366 53619.6961413
9.28639392883e-12 347.555119615
3988.24268676 54903.2956456
1.00090872076e-11 355.4502177
3959.90756884 56254.5188278
8.90508872776e-12 264.460134102
3928.38107981 56635.5727747
9.09716494562e-12 87.6100403297
3893.7100206 63238.0909487
9.15400832464e-12 176.712948204
3855.9458103 66542.6643996
9.07904290013e-12 106.379607177
3815.14439517 68974.3196102
8.76702462708e-12 107.917422249
3771.36614979 74404.402483
9.17042786289e-12 78.0692607892
3724.6757703 80224.3330907
8.7105486058e-12 177.775748903
3675.14216026 85948.0106611
9.01707759702e-12 71.433673406
3622.83830902 89965.5058261
8.45494881984e-12 150.488026626
3567.8411631 90927.871092
8.10147997684e-12 138.401505114
3510.23149066 95033.3780723
8.39574457318e-12 435.781099137
3450.0937394 99937.7706895
8.09989913119e-12 225.366891337
3387.51588814 94742.0328492
7.97949835017e-12 104.977893295
3322.58929233 104113.84193
7.72301251924e-12 163.921444685
3255.40852391 109490.986051
7.98004610251e-12 105.550040072
3186.07120562 112141.148851
7.34341512733e-12 263.787900546
3114.67784032 111453.113501
7.1445681962e-12 12.7665595841
3041.33163542 113476.543819
7.26495489801e-12 40.6745151619
2966.13832292 113572.159115
7.57801572381e-12 99.2291632566
2889.20597532 113399.420823
6.7269310307e-12 62.05121297
2810.64481779 119530.20816
6.94416910398e-12 158.15708154
2730.56703691 118904.566248
6.53748023433e-12 164.585702311
2649.08658642 121458.625784
6.27337264424e-12 142.247436598
2649.08658642 119520.755531
5.49553521025e-12 38.5659075799
2730.56703691 118616.903714
5.82102761651e-12 94.1505197716
2810.64481779 118141.414608
4.92602603969e-12 156.305754451
2889.20597532 117476.414644
5.10515152258e-12 85.5439223927
2966.13832292 111096.183957
4.64084225448e-12 53.1105086416
3041.33163542 116589.279803
4.99691305244e-12 64.0817921352
3114.67784032 112020.776609
4.88860060885e-12 72.4885470331
3186.07120562 112563.438877
4.29167166644e-12 107.533114743
3255.40852391 108887.281732
4.11864656578e-12 61.9931962099
3322.58929233 105532.407353
3.94081651361e-12 276.538814201
3387.51588814 96021.7781222
3.2101080784e-12 120.00124645
3450.0937394 99436.1463157
3.22677998271e-12 223.400766135
3510.23149066 97880.6611635
3.41828380464e-12 114.393590425
3567.8411631 93860.507895
3.17254190245e-12 89.2488935081
3622.83830902 89016.1508597
2.57657260938e-12 187.800285506
3675.14216026 82382.083678
2.66368078091e-12 124.549171045
3724.6757703 84430.8912766
2.44232161501e-12 177.248770272
3771.36614979 75091.885894
2.01403462396e-12 97.9737462166
3815.14439517 72800.9790181
1.71619920493e-12 116.082078734
3855.9458103 65317.6900392
1.37082206643e-12 202.719180942
3893.7100206 61189.9612658
1.81558976042e-12 144.601192628
3928.38107981 58638.1628803
1.62492044514e-12 127.940532755
3959.90756884 51871.2352761
1.88679494591e-12 63.9950746228
3988.24268676 55878.3076333
1.95496491372e-12 174.591131407
4013.34433366 55855.0386121
1.10385131756e-12 182.783514661
4035.17518516 56829.1288849
7.87393409145e-13 261.0782727
4053.70275857 58632.0102056
6.37304547566e-13 564.487370483
4068.89947044 58118.7023817
6.00340729408e-13 376.073455854
4080.74268549 58492.561238
5.43382973309e-13 815.853165929
4089.21475671 59415.8739165
5.31477374083e-13 152.766792897
4094.30305668 61322.6727233
1.30550995298e-12 402.783274597
4096.0 43437.2945589

отношение на i,j позиции функция зашумлена.

In [363]:
x,y = np.meshgrid(range(0,64),range(0,64))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,64)
ax.set_ylim(0,64)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/mpl_toolkits/mplot3d/proj3d.py:141: RuntimeWarning: invalid value encountered in true_divide
  txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w

cечения предыдущего трехмерного графика. сечение по диагонали

In [395]:
y = [z[i,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.plot(range(64),y)
Out[395]:
[<matplotlib.lines.Line2D at 0x7f3828f03f28>]
In [396]:
y = [z[0,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.plot(range(64),y)
Out[396]:
[<matplotlib.lines.Line2D at 0x7f3828e36e80>]
In [397]:
y = [z[2,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.plot(range(64),y)
Out[397]:
[<matplotlib.lines.Line2D at 0x7f3828db3da0>]
In [405]:
y = [z[3,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,2.2,0.2))
plt.ylim(0,2)
plt.plot(range(64),y)
Out[405]:
[<matplotlib.lines.Line2D at 0x7f3828677cf8>]
In [406]:
y = [z[5,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,2.2,0.2))
plt.ylim(0,2)
plt.plot(range(64),y)
Out[406]:
[<matplotlib.lines.Line2D at 0x7f38286535c0>]
In [407]:
y = [z[50,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,2.2,0.2))
plt.ylim(0,2)
plt.plot(range(64),y)
Out[407]:
[<matplotlib.lines.Line2D at 0x7f38289ba2e8>]
In [438]:
y = [z[20,i] for i in range(64)]
plt.xlim(0,64)
plt.xticks(range(0,64,7))
plt.yticks(np.arange(0,1.5,0.1))
plt.ylim(0,1.5)
plt.plot(range(64),y)
Out[438]:
[<matplotlib.lines.Line2D at 0x7f3828109b70>]

3d график при i, j $\in$ [0..20]

In [419]:
x,y = np.meshgrid(range(0,20),range(0,20))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z[0:20,0:20])
ax.set_zlim(0, 2)
ax.set_xlim(0,20)
ax.set_ylim(0,20)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)

уберем единицу.

In [435]:
x,y = np.meshgrid(range(1,51),range(1,51))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z[1:51,1:51])
ax.set_zlim(0, 2)
ax.set_xlim(1,51)
ax.set_ylim(1,51)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)

теперь на 128х128

In [440]:
z = np.zeros(128*128).reshape(128,128)
for i in range (128):
    for j in range(128):
        z[i,j] = compare(i,j,7, True)
16384.0 16384.0
16384.0 340527.531223
16382.3292126 36776.5857925
16382.3292126 483574.407887
16377.3174636 167389.510123
16377.3174636 471625.332392
16368.9665928 37077.9840182
16368.9665928 469114.241223
16357.2796653 82574.4147016
16357.2796653 475867.610372
16342.2609707 36777.4944325
16342.2609707 473394.019499
16323.9160208 55153.5609364
16323.9160208 467833.87966
16302.2515473 37039.6118558
16302.2515473 463076.142444
16277.2754989 42188.5768786
16277.2754989 460659.267391
16248.997038 36656.9462501
16248.997038 466059.440468
16217.4265363 33131.3211844
16217.4265363 462227.869477
16182.5755706 36952.4661763
16182.5755706 455251.950213
16144.4569176 27942.6360024
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16103.0845485 37014.1946705
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16058.4736226 23882.7533041
16058.4736226 443891.685384
16010.6404809 36625.3645185
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15959.6026388 20965.4222587
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15905.3787787 35760.8132732
15905.3787787 439176.651203
15847.9887418 19012.8977307
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15787.4535192 36393.4689776
15787.4535192 428676.704276
15723.7952428 17611.6480098
15723.7952428 463177.681699
15657.0371761 35923.0303386
15657.0371761 467250.816912
15587.2037034 17100.7992006
15587.2037034 496466.774024
15514.3203198 36718.6756469
15514.3203198 519835.513633
15438.4136193 16374.8878208
15438.4136193 535963.450665
15359.5112843 35389.7387682
15359.5112843 539577.429718
15277.6420725 16246.4855243
15277.6420725 576374.09859
15192.8358051 35288.19606
15192.8358051 582000.277937
15105.1233533 16491.900649
15105.1233533 607624.623083
15014.5366255 35430.0451964
15014.5366255 617406.501599
14921.1085526 16240.6187911
14921.1085526 630590.884503
14824.8730747 35559.7495672
14824.8730747 660752.193044
14725.8651252 16377.6404894
14725.8651252 665027.35946
14624.1206167 35341.4639302
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14519.6764248 16547.2468905
14519.6764248 701115.084295
14412.5703722 34981.5096347
14412.5703722 722381.264974
14302.8412123 16596.843893
14302.8412123 740981.793092
14190.5286127 34681.5332756
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14075.6731374 16451.45836
14075.6731374 760232.820176
13958.3162298 34639.4801445
13958.3162298 777700.810013
13838.5001946 17024.3874638
13838.5001946 797021.127762
13716.2681793 34608.0159216
13716.2681793 805650.796553
13591.664156 16629.8775474
13591.664156 814201.208756
13464.7329016 34027.4623611
13464.7329016 825648.682071
13335.5199796 16726.4775517
13335.5199796 839341.832621
13204.0717193 33931.0872016
13204.0717193 857304.042897
13070.4351966 16938.6003373
13070.4351966 857093.996931
12934.6582133 33177.0866363
12934.6582133 855983.711722
12796.7892768 16531.2171517
12796.7892768 873375.403761
12656.877579 33337.9470651
12656.877579 882922.34606
12514.9729752 16937.9821191
12514.9729752 901834.443376
12371.1259628 32792.3879966
12371.1259628 900049.571036
12225.3876595 16579.737429
12225.3876595 907115.234568
12077.8097812 32756.3408684
12077.8097812 913657.318121
11928.4446202 16958.063295
11928.4446202 926496.831372
11777.3450227 32466.5875136
11777.3450227 917981.749912
11624.5643658 16983.5574354
11624.5643658 933833.38855
11470.1565353 32208.9696237
11470.1565353 926649.629458
11314.1759021 16866.378284
11314.1759021 926206.120381
11156.6772993 31996.8238332
11156.6772993 944035.253834
10997.7159989 17441.4885844
10997.7159989 944295.222178
10837.347688 31974.3885451
10837.347688 940842.891936
10675.6284451 17196.7084382
10675.6284451 949604.637578
10512.6147167 31630.1363913
10512.6147167 947109.425085
10348.3632926 17613.8459173
10512.6147167 947598.910588
10182.9312826 31111.7540902
10675.6284451 946360.217429
10016.3760917 17550.6129351
10837.347688 944974.081555
9848.75539594 31129.4510523
10997.7159989 952824.384987
9680.12711838 17912.8776124
11156.6772993 947009.419465
9510.54940415 30693.7932876
11314.1759021 944898.577214
9340.08059622 17828.9896401
11470.1565353 932263.545206
9168.77921074 30182.1228542
11624.5643658 932179.838156
8996.70391246 17708.4927161
11777.3450227 919016.352406
8823.91349008 30015.5619406
11928.4446202 910277.027146
8650.4668316 17967.0245804
12077.8097812 912292.716028
8476.42289965 29677.6635796
12225.3876595 908846.595068
8301.84070684 18205.7667366
12371.1259628 907150.031097
8126.77929112 29472.0952853
12514.9729752 900351.665251
7951.29769118 18286.3397791
12656.877579 889139.979665
7775.45492189 29004.1116065
12796.7892768 873475.240938
7599.30994973 18724.3413301
12934.6582133 876201.990071
7422.92166839 28974.9548496
13070.4351966 864977.73349
7246.34887437 18328.8608038
13204.0717193 846353.357145
7069.65024268 28552.7921098
13335.5199796 844161.762848
6892.88430262 18662.713958
13464.7329016 823490.415436
6716.10941373 27957.436224
13591.664156 812484.842579
6539.38374177 19157.4233956
13716.2681793 802505.330798
6362.76523489 27705.2152738
13838.5001946 792461.58972
6186.31159995 19464.1225126
13958.3162298 787793.421321
6010.0802789 27522.6824768
14075.6731374 769535.116053
5834.12842545 19121.0206484
14190.5286127 751950.815129
5658.51288182 27015.8670604
14302.8412123 730974.418221
5483.29015569 19383.103982
14412.5703722 725090.482285
5308.51639736 26873.304508
14519.6764248 703007.061997
5134.24737714 19631.7318856
14624.1206167 691429.97749
4960.53846285 26724.9152372
14725.8651252 674794.906647
4787.4445977 19686.3607607
14824.8730747 665165.924436
4615.02027823 26209.4230802
14921.1085526 639773.836681
4443.31953267 19610.6016626
15014.5366255 614596.221031
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15105.1233533 607370.805321
4102.30240573 20077.4583563
15192.8358051 587706.631028
3933.09154704 25142.7373982
15277.6420725 563860.156618
3764.81526604 19934.3819346
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15438.4136193 530860.765854
3431.27132288 19979.8654578
15514.3203198 496893.429901
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3102.07429882 20403.7018262
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2939.22929599 24330.8479382
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951.049629752 44987.1115046
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396.061269684 85264.448487
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262.062560758 15231.7150844
16377.3174636 466728.322479
130.031334834 167220.888174
16382.3292126 472943.776771
3.3046701565e-11 0.0
16384.0 16384.0
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in double_scalars
  app.launch_new_instance()
16382.3292126 35477.9440573
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16380.6585955 16894.6192872
16380.6585955 473448.817989
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16340.5944397 16311.8420585
16340.5944397 472231.29791
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16215.7727355 15917.1609474
16215.7727355 474095.646987
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16180.9253238 476524.638756
16142.810558 16988.4228444
16142.810558 478845.560896
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16101.4424079 466923.207919
16056.8360313 15848.1807787
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15957.97513 15849.2708768
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15785.8435656 15851.7714991
15785.8435656 476294.479094
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15722.1917809 481288.26977
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15585.6141707 15679.3092673
15585.6141707 488782.972343
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15436.8392598 15508.2689126
15436.8392598 530417.870413
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16384.0 338665.099123
In [442]:
x,y = np.meshgrid(range(0,128),range(0,128))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,128)
ax.set_ylim(0,128)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/mpl_toolkits/mplot3d/proj3d.py:141: RuntimeWarning: invalid value encountered in true_divide
  txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w
In [443]:
y = [z[i,i] for i in range(128)]
plt.xlim(0,128)
plt.xticks(range(0,128,7))
plt.plot(range(128),y)
Out[443]:
[<matplotlib.lines.Line2D at 0x7f3823dea160>]

теперь для маленькой размерности

In [444]:
z = np.zeros(32*32).reshape(32,32)
for i in range (32):
    for j in range(32):
        z[i,j] = compare(i,j,5, True)
1024.0 1024.0
1024.0 5231.95652753
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1022.24983807 7499.51885579
7.52318525727e-13 0.0
1024.0 1024.0
1022.24983807 2624.40237528
1022.24983807 7224.31682708
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:16: RuntimeWarning: divide by zero encountered in double_scalars
  app.launch_new_instance()
1020.50266741 1171.95673894
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955.546958236 8810.83242218
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909.300494003 891.635027306
909.300494003 10979.4705218
881.874366573 874.727737476
881.874366573 11562.9550192
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851.795544052 12312.7949337
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708.784328701 14248.9315392
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668.423038467 14116.171172
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668.423038467 14444.8592123
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708.784328701 14826.9647458
540.019912583 491.50770022
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In [445]:
x,y = np.meshgrid(range(0,32),range(0,32))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z)
ax.set_zlim(0, 2)
ax.set_xlim(0,32)
ax.set_ylim(0,32)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
/home/satbek/python/anacondas/anaconda2/envs/py36/lib/python3.6/site-packages/mpl_toolkits/mplot3d/proj3d.py:141: RuntimeWarning: invalid value encountered in true_divide
  txs, tys, tzs = vecw[0]/w, vecw[1]/w, vecw[2]/w
In [446]:
y = [z[i,i] for i in range(32)]
plt.xlim(0,32)
plt.xticks(range(0,32,7))
plt.plot(range(32),y)
Out[446]:
[<matplotlib.lines.Line2D at 0x7f3823872550>]
In [447]:
x,y = np.meshgrid(range(1,21),range(1,21))
from mpl_toolkits.mplot3d import Axes3D
size = (30,30)
fig = plt.figure(figsize=size)
ax = fig.gca(projection='3d')
ax.plot_wireframe(x, y, z[1:21,1:21])
ax.set_zlim(0, 2)
ax.set_xlim(1,21)
ax.set_ylim(1,21)

from matplotlib.ticker import MultipleLocator, FormatStrFormatter
majorLocator = MultipleLocator(2)
majorFormatter = FormatStrFormatter('%d')
ax.xaxis.set_major_locator(majorLocator)
ax.xaxis.set_major_formatter(majorFormatter)
ax.yaxis.set_major_locator(majorLocator)
ax.yaxis.set_major_formatter(majorFormatter)
In [ ]: